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Please help me solve this equation for $x$.

$$y = \frac{0.2 x \sqrt{\left|\frac{x}{a}\right|}}{ \left|\frac{x}{a}\right|^{2/3}/1,75}$$

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Please make sure the equation is what you intended. –  Stefan Hansen Jan 27 '13 at 21:03
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The questions in the title and the body are different. –  mrf Jan 27 '13 at 21:44
    
It's not equation. Just a function. –  hjpotter92 Jan 28 '13 at 6:37
    
I updated my function. I forgot to put one brace. –  Martin Jan 28 '13 at 9:52
    
OK I calculated it and got x = ±(3.52467 y^(6/5))/a^(1/5). –  Martin Jan 28 '13 at 10:23
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1 Answer

Hint: For any $b>0$: $$ b\frac{\sqrt{b}}{b^{2/3}}=b\frac{b^{1/2}}{b^{2/3}}=b^{1+1/2-2/3}=b^{5/6}. $$ Use this with $b=\left|\frac{x}{a}\right|$ assuming $x\neq 0$.

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